Question

Construct a triangle with sides $5$ cm, $5.5$ cm and $6.5$ cm. Now construct another triangle, whose sides are $\frac{5}{3}$ times the corresponding sides of the given triangle.

Answer 1

Steps to follow:

Step 1. At first drawn a base line BC of length 5.5 cm with the help of scale.

Step 2. Taking B as center draw an arc of radius 5 cm with the help of compass. Similarly taking C as center draw a arc of radius 6.5 cm with the help of compass.

Join AB and AC thus completing the triangle ABC.

Step 3. A ray BX is drawn making an acute angle with BC opposite to vertex A. Five points B1 , B2 , B3, B4, and B5 at equal distance is marked on BX.

Step 4. B3 is joined with C to form B3 C as 3 point is smaller. B5 C1 is drawn parallel to B3 C as 5 point is greater.

Step 5:C1A1is drawn parallel to CA.

Thus, A1BC1 is the required triangle.